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Simplifying (5a + 3b) + -1[13 + -1(6a + 12b) + -14] = 0 Remove parenthesis around (5a + 3b) 5a + 3b + -1[13 + -1(6a + 12b) + -14] = 0 5a + 3b + -1[13 + (6a * -1 + 12b * -1) + -14] = 0 5a + 3b + -1[13 + (-6a + -12b) + -14] = 0 Reorder the terms: 5a + 3b + -1[13 + -14 + -6a + -12b] = 0 Combine like terms: 13 + -14 = -1 5a + 3b + -1[-1 + -6a + -12b] = 0 5a + 3b + [-1 * -1 + -6a * -1 + -12b * -1] = 0 5a + 3b + [1 + 6a + 12b] = 0 Reorder the terms: 1 + 5a + 6a + 3b + 12b = 0 Combine like terms: 5a + 6a = 11a 1 + 11a + 3b + 12b = 0 Combine like terms: 3b + 12b = 15b 1 + 11a + 15b = 0 Solving 1 + 11a + 15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 11a + -1 + 15b = 0 + -1 Reorder the terms: 1 + -1 + 11a + 15b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 11a + 15b = 0 + -1 11a + 15b = 0 + -1 Combine like terms: 0 + -1 = -1 11a + 15b = -1 Add '-15b' to each side of the equation. 11a + 15b + -15b = -1 + -15b Combine like terms: 15b + -15b = 0 11a + 0 = -1 + -15b 11a = -1 + -15b Divide each side by '11'. a = -0.09090909091 + -1.363636364b Simplifying a = -0.09090909091 + -1.363636364b
| m^2-41=0 | | (6-4i)(5+9)= | | n^2-14=0 | | 8.56-(-1.76)-8.56=-6.8 | | 5i-(15-3i)= | | Tan3=x/5 | | 17x^9-15x^7+10x^6= | | 14y+2-3y= | | -7(a+3)= | | (6-6i)+(1+9i)= | | (5n-6)(n-4)=0 | | 3-18xy=0 | | 5-(3x^2+x+6)= | | 6=35b-8-15b | | 7e=28 | | 16+4(5-6)= | | 3/4x-5/6÷5x/8-/3x | | 2x-5x=-3x-4 | | -5+81= | | 3/4x-5/6÷5x/8-/3x= | | 2ydx+(xy+3x)dy=0 | | cosx-cos(3x)=0 | | X^2-10=62 | | 5e=45 | | 2y-8x=1 | | (2s-1)(2s-1)= | | (12*55)+(12*a)=12*100 | | 6x-(2x-4)=24 | | -2x+37=6x+5 | | (12*55)+(12*a)=12*300 | | (3)(-6-8)/7 | | 12+6a+8=45 |