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Simplifying 10(7 + 3b) + -8 = -10 + 12b (7 * 10 + 3b * 10) + -8 = -10 + 12b (70 + 30b) + -8 = -10 + 12b Reorder the terms: 70 + -8 + 30b = -10 + 12b Combine like terms: 70 + -8 = 62 62 + 30b = -10 + 12b Solving 62 + 30b = -10 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 62 + 30b + -12b = -10 + 12b + -12b Combine like terms: 30b + -12b = 18b 62 + 18b = -10 + 12b + -12b Combine like terms: 12b + -12b = 0 62 + 18b = -10 + 0 62 + 18b = -10 Add '-62' to each side of the equation. 62 + -62 + 18b = -10 + -62 Combine like terms: 62 + -62 = 0 0 + 18b = -10 + -62 18b = -10 + -62 Combine like terms: -10 + -62 = -72 18b = -72 Divide each side by '18'. b = -4 Simplifying b = -4
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