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Simplifying 2(b + -4) = 3(b + -7) Reorder the terms: 2(-4 + b) = 3(b + -7) (-4 * 2 + b * 2) = 3(b + -7) (-8 + 2b) = 3(b + -7) Reorder the terms: -8 + 2b = 3(-7 + b) -8 + 2b = (-7 * 3 + b * 3) -8 + 2b = (-21 + 3b) Solving -8 + 2b = -21 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -8 + 2b + -3b = -21 + 3b + -3b Combine like terms: 2b + -3b = -1b -8 + -1b = -21 + 3b + -3b Combine like terms: 3b + -3b = 0 -8 + -1b = -21 + 0 -8 + -1b = -21 Add '8' to each side of the equation. -8 + 8 + -1b = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = -21 + 8 -1b = -21 + 8 Combine like terms: -21 + 8 = -13 -1b = -13 Divide each side by '-1'. b = 13 Simplifying b = 13
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