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Simplifying 3(b + -3) + -4 = 4(b + -7) Reorder the terms: 3(-3 + b) + -4 = 4(b + -7) (-3 * 3 + b * 3) + -4 = 4(b + -7) (-9 + 3b) + -4 = 4(b + -7) Reorder the terms: -9 + -4 + 3b = 4(b + -7) Combine like terms: -9 + -4 = -13 -13 + 3b = 4(b + -7) Reorder the terms: -13 + 3b = 4(-7 + b) -13 + 3b = (-7 * 4 + b * 4) -13 + 3b = (-28 + 4b) Solving -13 + 3b = -28 + 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. -13 + 3b + -4b = -28 + 4b + -4b Combine like terms: 3b + -4b = -1b -13 + -1b = -28 + 4b + -4b Combine like terms: 4b + -4b = 0 -13 + -1b = -28 + 0 -13 + -1b = -28 Add '13' to each side of the equation. -13 + 13 + -1b = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -1b = -28 + 13 -1b = -28 + 13 Combine like terms: -28 + 13 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15
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