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Simplifying 3(b + -4) + -5 = 4(b + -9) Reorder the terms: 3(-4 + b) + -5 = 4(b + -9) (-4 * 3 + b * 3) + -5 = 4(b + -9) (-12 + 3b) + -5 = 4(b + -9) Reorder the terms: -12 + -5 + 3b = 4(b + -9) Combine like terms: -12 + -5 = -17 -17 + 3b = 4(b + -9) Reorder the terms: -17 + 3b = 4(-9 + b) -17 + 3b = (-9 * 4 + b * 4) -17 + 3b = (-36 + 4b) Solving -17 + 3b = -36 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -17 + 3b + -4b = -36 + 4b + -4b Combine like terms: 3b + -4b = -1b -17 + -1b = -36 + 4b + -4b Combine like terms: 4b + -4b = 0 -17 + -1b = -36 + 0 -17 + -1b = -36 Add '17' to each side of the equation. -17 + 17 + -1b = -36 + 17 Combine like terms: -17 + 17 = 0 0 + -1b = -36 + 17 -1b = -36 + 17 Combine like terms: -36 + 17 = -19 -1b = -19 Divide each side by '-1'. b = 19 Simplifying b = 19
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