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Simplifying 3(2(j + -2) + -7(2j + -3)) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 Reorder the terms: 3(2(-2 + j) + -7(2j + -3)) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 3((-2 * 2 + j * 2) + -7(2j + -3)) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 3((-4 + 2j) + -7(2j + -3)) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 Reorder the terms: 3(-4 + 2j + -7(-3 + 2j)) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 3(-4 + 2j + (-3 * -7 + 2j * -7)) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 3(-4 + 2j + (21 + -14j)) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 Reorder the terms: 3(-4 + 21 + 2j + -14j) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 Combine like terms: -4 + 21 = 17 3(17 + 2j + -14j) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 Combine like terms: 2j + -14j = -12j 3(17 + -12j) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 (17 * 3 + -12j * 3) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 (51 + -36j) + -5(4(2j + -5) + -1(3j + -2)) = 6(j + 1) + 1 Reorder the terms: 51 + -36j + -5(4(-5 + 2j) + -1(3j + -2)) = 6(j + 1) + 1 51 + -36j + -5((-5 * 4 + 2j * 4) + -1(3j + -2)) = 6(j + 1) + 1 51 + -36j + -5((-20 + 8j) + -1(3j + -2)) = 6(j + 1) + 1 Reorder the terms: 51 + -36j + -5(-20 + 8j + -1(-2 + 3j)) = 6(j + 1) + 1 51 + -36j + -5(-20 + 8j + (-2 * -1 + 3j * -1)) = 6(j + 1) + 1 51 + -36j + -5(-20 + 8j + (2 + -3j)) = 6(j + 1) + 1 Reorder the terms: 51 + -36j + -5(-20 + 2 + 8j + -3j) = 6(j + 1) + 1 Combine like terms: -20 + 2 = -18 51 + -36j + -5(-18 + 8j + -3j) = 6(j + 1) + 1 Combine like terms: 8j + -3j = 5j 51 + -36j + -5(-18 + 5j) = 6(j + 1) + 1 51 + -36j + (-18 * -5 + 5j * -5) = 6(j + 1) + 1 51 + -36j + (90 + -25j) = 6(j + 1) + 1 Reorder the terms: 51 + 90 + -36j + -25j = 6(j + 1) + 1 Combine like terms: 51 + 90 = 141 141 + -36j + -25j = 6(j + 1) + 1 Combine like terms: -36j + -25j = -61j 141 + -61j = 6(j + 1) + 1 Reorder the terms: 141 + -61j = 6(1 + j) + 1 141 + -61j = (1 * 6 + j * 6) + 1 141 + -61j = (6 + 6j) + 1 Reorder the terms: 141 + -61j = 6 + 1 + 6j Combine like terms: 6 + 1 = 7 141 + -61j = 7 + 6j Solving 141 + -61j = 7 + 6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6j' to each side of the equation. 141 + -61j + -6j = 7 + 6j + -6j Combine like terms: -61j + -6j = -67j 141 + -67j = 7 + 6j + -6j Combine like terms: 6j + -6j = 0 141 + -67j = 7 + 0 141 + -67j = 7 Add '-141' to each side of the equation. 141 + -141 + -67j = 7 + -141 Combine like terms: 141 + -141 = 0 0 + -67j = 7 + -141 -67j = 7 + -141 Combine like terms: 7 + -141 = -134 -67j = -134 Divide each side by '-67'. j = 2 Simplifying j = 2
| 3f+5-4f=7 | | X-3=98 | | 12-(-4)=8r-9-3r | | .00235=(25)(.128)(x-27) | | x+14y=4 | | 5p-3(6-4p)=7p-4 | | 2085000000.00+5550000.00t=250000000.00 | | (5y+38)+3x+(8x+26)=360 | | 18=7x-3(6-x) | | (5y+38)3x(8x+26)=360 | | 5(w+2.2)-4w=9.3 | | 8x-3(3-x)=24 | | -x+14y=3 | | 3x+22=12x-85 | | mx+2x=p | | 6+2y=16 | | 1+1+5=2+t | | (5y+38)+3x+(8x+26)= | | 140-3x=42+20 | | 2085000000.00+550000.00t=2500000000.00 | | 11-10x=19+17x | | 11-10x=19+17 | | 18m^8-4m^6+6m^4=0 | | 9-7x=119-42x | | (4x+12)+(3x+22)+90=180 | | -82-7x=8x+22 | | 3056890000.00-15000000.00t=3000000000.00 | | Xsquared+5x-24= | | (3p)/5+4/5=2 | | 7=8x-5(2x-3) | | 12y+8x+4=0 | | (3x+10)+(5x-32)+90=180 |