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Simplifying 2(b + -2) + -5 = 3(b + -7) Reorder the terms: 2(-2 + b) + -5 = 3(b + -7) (-2 * 2 + b * 2) + -5 = 3(b + -7) (-4 + 2b) + -5 = 3(b + -7) Reorder the terms: -4 + -5 + 2b = 3(b + -7) Combine like terms: -4 + -5 = -9 -9 + 2b = 3(b + -7) Reorder the terms: -9 + 2b = 3(-7 + b) -9 + 2b = (-7 * 3 + b * 3) -9 + 2b = (-21 + 3b) Solving -9 + 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. -9 + 2b + -3b = -21 + 3b + -3b Combine like terms: 2b + -3b = -1b -9 + -1b = -21 + 3b + -3b Combine like terms: 3b + -3b = 0 -9 + -1b = -21 + 0 -9 + -1b = -21 Add '9' to each side of the equation. -9 + 9 + -1b = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -1b = -21 + 9 -1b = -21 + 9 Combine like terms: -21 + 9 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12
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