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Simplifying -2(b + -4) = -3(a + -7) Reorder the terms: -2(-4 + b) = -3(a + -7) (-4 * -2 + b * -2) = -3(a + -7) (8 + -2b) = -3(a + -7) Reorder the terms: 8 + -2b = -3(-7 + a) 8 + -2b = (-7 * -3 + a * -3) 8 + -2b = (21 + -3a) Solving 8 + -2b = 21 + -3a Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2b = 21 + -8 + -3a Combine like terms: 8 + -8 = 0 0 + -2b = 21 + -8 + -3a -2b = 21 + -8 + -3a Combine like terms: 21 + -8 = 13 -2b = 13 + -3a Divide each side by '-2'. b = -6.5 + 1.5a Simplifying b = -6.5 + 1.5a
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