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Simplifying 8(b + -6) = 4(4b + -32) Reorder the terms: 8(-6 + b) = 4(4b + -32) (-6 * 8 + b * 8) = 4(4b + -32) (-48 + 8b) = 4(4b + -32) Reorder the terms: -48 + 8b = 4(-32 + 4b) -48 + 8b = (-32 * 4 + 4b * 4) -48 + 8b = (-128 + 16b) Solving -48 + 8b = -128 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. -48 + 8b + -16b = -128 + 16b + -16b Combine like terms: 8b + -16b = -8b -48 + -8b = -128 + 16b + -16b Combine like terms: 16b + -16b = 0 -48 + -8b = -128 + 0 -48 + -8b = -128 Add '48' to each side of the equation. -48 + 48 + -8b = -128 + 48 Combine like terms: -48 + 48 = 0 0 + -8b = -128 + 48 -8b = -128 + 48 Combine like terms: -128 + 48 = -80 -8b = -80 Divide each side by '-8'. b = 10 Simplifying b = 10
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