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Simplifying -29 = -5(b + 6) + 6(b + -1) Reorder the terms: -29 = -5(6 + b) + 6(b + -1) -29 = (6 * -5 + b * -5) + 6(b + -1) -29 = (-30 + -5b) + 6(b + -1) Reorder the terms: -29 = -30 + -5b + 6(-1 + b) -29 = -30 + -5b + (-1 * 6 + b * 6) -29 = -30 + -5b + (-6 + 6b) Reorder the terms: -29 = -30 + -6 + -5b + 6b Combine like terms: -30 + -6 = -36 -29 = -36 + -5b + 6b Combine like terms: -5b + 6b = 1b -29 = -36 + 1b Solving -29 = -36 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -29 + -1b = -36 + 1b + -1b Combine like terms: 1b + -1b = 0 -29 + -1b = -36 + 0 -29 + -1b = -36 Add '29' to each side of the equation. -29 + 29 + -1b = -36 + 29 Combine like terms: -29 + 29 = 0 0 + -1b = -36 + 29 -1b = -36 + 29 Combine like terms: -36 + 29 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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