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Simplifying -7 + 6(b + -3) = -6b + -13 Reorder the terms: -7 + 6(-3 + b) = -6b + -13 -7 + (-3 * 6 + b * 6) = -6b + -13 -7 + (-18 + 6b) = -6b + -13 Combine like terms: -7 + -18 = -25 -25 + 6b = -6b + -13 Reorder the terms: -25 + 6b = -13 + -6b Solving -25 + 6b = -13 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -25 + 6b + 6b = -13 + -6b + 6b Combine like terms: 6b + 6b = 12b -25 + 12b = -13 + -6b + 6b Combine like terms: -6b + 6b = 0 -25 + 12b = -13 + 0 -25 + 12b = -13 Add '25' to each side of the equation. -25 + 25 + 12b = -13 + 25 Combine like terms: -25 + 25 = 0 0 + 12b = -13 + 25 12b = -13 + 25 Combine like terms: -13 + 25 = 12 12b = 12 Divide each side by '12'. b = 1 Simplifying b = 1
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