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Simplifying 8(b + -6) = -4(-3b + 1) Reorder the terms: 8(-6 + b) = -4(-3b + 1) (-6 * 8 + b * 8) = -4(-3b + 1) (-48 + 8b) = -4(-3b + 1) Reorder the terms: -48 + 8b = -4(1 + -3b) -48 + 8b = (1 * -4 + -3b * -4) -48 + 8b = (-4 + 12b) Solving -48 + 8b = -4 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -48 + 8b + -12b = -4 + 12b + -12b Combine like terms: 8b + -12b = -4b -48 + -4b = -4 + 12b + -12b Combine like terms: 12b + -12b = 0 -48 + -4b = -4 + 0 -48 + -4b = -4 Add '48' to each side of the equation. -48 + 48 + -4b = -4 + 48 Combine like terms: -48 + 48 = 0 0 + -4b = -4 + 48 -4b = -4 + 48 Combine like terms: -4 + 48 = 44 -4b = 44 Divide each side by '-4'. b = -11 Simplifying b = -11
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