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Simplifying -8(2b + 7) = -8(5b + 7) Reorder the terms: -8(7 + 2b) = -8(5b + 7) (7 * -8 + 2b * -8) = -8(5b + 7) (-56 + -16b) = -8(5b + 7) Reorder the terms: -56 + -16b = -8(7 + 5b) -56 + -16b = (7 * -8 + 5b * -8) -56 + -16b = (-56 + -40b) Add '56' to each side of the equation. -56 + 56 + -16b = -56 + 56 + -40b Combine like terms: -56 + 56 = 0 0 + -16b = -56 + 56 + -40b -16b = -56 + 56 + -40b Combine like terms: -56 + 56 = 0 -16b = 0 + -40b -16b = -40b Solving -16b = -40b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '40b' to each side of the equation. -16b + 40b = -40b + 40b Combine like terms: -16b + 40b = 24b 24b = -40b + 40b Combine like terms: -40b + 40b = 0 24b = 0 Divide each side by '24'. b = 0 Simplifying b = 0
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