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Simplifying 12(5 + -3b) + 7(5b + 10) = 118 (5 * 12 + -3b * 12) + 7(5b + 10) = 118 (60 + -36b) + 7(5b + 10) = 118 Reorder the terms: 60 + -36b + 7(10 + 5b) = 118 60 + -36b + (10 * 7 + 5b * 7) = 118 60 + -36b + (70 + 35b) = 118 Reorder the terms: 60 + 70 + -36b + 35b = 118 Combine like terms: 60 + 70 = 130 130 + -36b + 35b = 118 Combine like terms: -36b + 35b = -1b 130 + -1b = 118 Solving 130 + -1b = 118 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-130' to each side of the equation. 130 + -130 + -1b = 118 + -130 Combine like terms: 130 + -130 = 0 0 + -1b = 118 + -130 -1b = 118 + -130 Combine like terms: 118 + -130 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12
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