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Simplifying 7(8 + 2b) + 3b = -7(-4b + -8) (8 * 7 + 2b * 7) + 3b = -7(-4b + -8) (56 + 14b) + 3b = -7(-4b + -8) Combine like terms: 14b + 3b = 17b 56 + 17b = -7(-4b + -8) Reorder the terms: 56 + 17b = -7(-8 + -4b) 56 + 17b = (-8 * -7 + -4b * -7) 56 + 17b = (56 + 28b) Add '-56' to each side of the equation. 56 + -56 + 17b = 56 + -56 + 28b Combine like terms: 56 + -56 = 0 0 + 17b = 56 + -56 + 28b 17b = 56 + -56 + 28b Combine like terms: 56 + -56 = 0 17b = 0 + 28b 17b = 28b Solving 17b = 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 17b + -28b = 28b + -28b Combine like terms: 17b + -28b = -11b -11b = 28b + -28b Combine like terms: 28b + -28b = 0 -11b = 0 Divide each side by '-11'. b = 0 Simplifying b = 0
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