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Simplifying 4(b + -4) + 9 = 2(4b + -6) Reorder the terms: 4(-4 + b) + 9 = 2(4b + -6) (-4 * 4 + b * 4) + 9 = 2(4b + -6) (-16 + 4b) + 9 = 2(4b + -6) Reorder the terms: -16 + 9 + 4b = 2(4b + -6) Combine like terms: -16 + 9 = -7 -7 + 4b = 2(4b + -6) Reorder the terms: -7 + 4b = 2(-6 + 4b) -7 + 4b = (-6 * 2 + 4b * 2) -7 + 4b = (-12 + 8b) Solving -7 + 4b = -12 + 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. -7 + 4b + -8b = -12 + 8b + -8b Combine like terms: 4b + -8b = -4b -7 + -4b = -12 + 8b + -8b Combine like terms: 8b + -8b = 0 -7 + -4b = -12 + 0 -7 + -4b = -12 Add '7' to each side of the equation. -7 + 7 + -4b = -12 + 7 Combine like terms: -7 + 7 = 0 0 + -4b = -12 + 7 -4b = -12 + 7 Combine like terms: -12 + 7 = -5 -4b = -5 Divide each side by '-4'. b = 1.25 Simplifying b = 1.25
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