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Simplifying -7(5b + 2) = -8(4b + -2) Reorder the terms: -7(2 + 5b) = -8(4b + -2) (2 * -7 + 5b * -7) = -8(4b + -2) (-14 + -35b) = -8(4b + -2) Reorder the terms: -14 + -35b = -8(-2 + 4b) -14 + -35b = (-2 * -8 + 4b * -8) -14 + -35b = (16 + -32b) Solving -14 + -35b = 16 + -32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '32b' to each side of the equation. -14 + -35b + 32b = 16 + -32b + 32b Combine like terms: -35b + 32b = -3b -14 + -3b = 16 + -32b + 32b Combine like terms: -32b + 32b = 0 -14 + -3b = 16 + 0 -14 + -3b = 16 Add '14' to each side of the equation. -14 + 14 + -3b = 16 + 14 Combine like terms: -14 + 14 = 0 0 + -3b = 16 + 14 -3b = 16 + 14 Combine like terms: 16 + 14 = 30 -3b = 30 Divide each side by '-3'. b = -10 Simplifying b = -10
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