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Simplifying 4(-14j + 18) + 5j = 2(-17j + 19) Reorder the terms: 4(18 + -14j) + 5j = 2(-17j + 19) (18 * 4 + -14j * 4) + 5j = 2(-17j + 19) (72 + -56j) + 5j = 2(-17j + 19) Combine like terms: -56j + 5j = -51j 72 + -51j = 2(-17j + 19) Reorder the terms: 72 + -51j = 2(19 + -17j) 72 + -51j = (19 * 2 + -17j * 2) 72 + -51j = (38 + -34j) Solving 72 + -51j = 38 + -34j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '34j' to each side of the equation. 72 + -51j + 34j = 38 + -34j + 34j Combine like terms: -51j + 34j = -17j 72 + -17j = 38 + -34j + 34j Combine like terms: -34j + 34j = 0 72 + -17j = 38 + 0 72 + -17j = 38 Add '-72' to each side of the equation. 72 + -72 + -17j = 38 + -72 Combine like terms: 72 + -72 = 0 0 + -17j = 38 + -72 -17j = 38 + -72 Combine like terms: 38 + -72 = -34 -17j = -34 Divide each side by '-17'. j = 2 Simplifying j = 2
| 2u+8=u | | h=3h+2 | | 3+9a=6a-9 | | 0=(5+6i)(3-3i) | | 8n=6n+8 | | 3x=-2y+10x=2y+6 | | 2/4x2/2 | | 2n+7+6n=6+7 | | -10z=-10-9z | | (2f^3+4f+4)+(7f^3+2f^2+9f+2)= | | 8p-9=-4p+6 | | u+8=-5 | | CD=3x-5 | | -7n+3n=-2 | | 2x+5y=23x-5y=3 | | -x-(-7-3x)=-5x+42+3-(-5x) | | 0=(5-7i)/(2-5i) | | -54+9y=-18 | | (2x-3)/(x-4)=(7/5) | | 3.7=n+4 | | 5b+20=4b-16 | | -5(6-12n)=3(-17+19n) | | 180=x+x+30x | | 2(w-4)=6w-9 | | 12.5-10x=0 | | -6(2p+14)=-11p | | 2/3z-1=7 | | (q^2+6q)+(4q+1)= | | 5/2x-2/2x=6 | | 4x+4x=28 | | 74+x+x=180 | | -6m+30=48 |