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Simplifying -4(6b + 2) = -8(4b + -7) Reorder the terms: -4(2 + 6b) = -8(4b + -7) (2 * -4 + 6b * -4) = -8(4b + -7) (-8 + -24b) = -8(4b + -7) Reorder the terms: -8 + -24b = -8(-7 + 4b) -8 + -24b = (-7 * -8 + 4b * -8) -8 + -24b = (56 + -32b) Solving -8 + -24b = 56 + -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. -8 + -24b + 32b = 56 + -32b + 32b Combine like terms: -24b + 32b = 8b -8 + 8b = 56 + -32b + 32b Combine like terms: -32b + 32b = 0 -8 + 8b = 56 + 0 -8 + 8b = 56 Add '8' to each side of the equation. -8 + 8 + 8b = 56 + 8 Combine like terms: -8 + 8 = 0 0 + 8b = 56 + 8 8b = 56 + 8 Combine like terms: 56 + 8 = 64 8b = 64 Divide each side by '8'. b = 8 Simplifying b = 8
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