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Simplifying 48 = 4b + -4(4b + -3) Reorder the terms: 48 = 4b + -4(-3 + 4b) 48 = 4b + (-3 * -4 + 4b * -4) 48 = 4b + (12 + -16b) Reorder the terms: 48 = 12 + 4b + -16b Combine like terms: 4b + -16b = -12b 48 = 12 + -12b Solving 48 = 12 + -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 + 12b = 12 + -12b + 12b Combine like terms: -12b + 12b = 0 48 + 12b = 12 + 0 48 + 12b = 12 Add '-48' to each side of the equation. 48 + -48 + 12b = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 12b = 12 + -48 12b = 12 + -48 Combine like terms: 12 + -48 = -36 12b = -36 Divide each side by '12'. b = -3 Simplifying b = -3
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