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Simplifying -29 + -1b = 7(8b + 4) Reorder the terms: -29 + -1b = 7(4 + 8b) -29 + -1b = (4 * 7 + 8b * 7) -29 + -1b = (28 + 56b) Solving -29 + -1b = 28 + 56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56b' to each side of the equation. -29 + -1b + -56b = 28 + 56b + -56b Combine like terms: -1b + -56b = -57b -29 + -57b = 28 + 56b + -56b Combine like terms: 56b + -56b = 0 -29 + -57b = 28 + 0 -29 + -57b = 28 Add '29' to each side of the equation. -29 + 29 + -57b = 28 + 29 Combine like terms: -29 + 29 = 0 0 + -57b = 28 + 29 -57b = 28 + 29 Combine like terms: 28 + 29 = 57 -57b = 57 Divide each side by '-57'. b = -1 Simplifying b = -1
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