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Simplifying 12b + 6(-4b + -7) = 14 + -7 Reorder the terms: 12b + 6(-7 + -4b) = 14 + -7 12b + (-7 * 6 + -4b * 6) = 14 + -7 12b + (-42 + -24b) = 14 + -7 Reorder the terms: -42 + 12b + -24b = 14 + -7 Combine like terms: 12b + -24b = -12b -42 + -12b = 14 + -7 Combine like terms: 14 + -7 = 7 -42 + -12b = 7 Solving -42 + -12b = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -12b = 7 + 42 Combine like terms: -42 + 42 = 0 0 + -12b = 7 + 42 -12b = 7 + 42 Combine like terms: 7 + 42 = 49 -12b = 49 Divide each side by '-12'. b = -4.083333333 Simplifying b = -4.083333333
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