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Simplifying -48 = 5(8 + -2b) + -2(8b + -8) -48 = (8 * 5 + -2b * 5) + -2(8b + -8) -48 = (40 + -10b) + -2(8b + -8) Reorder the terms: -48 = 40 + -10b + -2(-8 + 8b) -48 = 40 + -10b + (-8 * -2 + 8b * -2) -48 = 40 + -10b + (16 + -16b) Reorder the terms: -48 = 40 + 16 + -10b + -16b Combine like terms: 40 + 16 = 56 -48 = 56 + -10b + -16b Combine like terms: -10b + -16b = -26b -48 = 56 + -26b Solving -48 = 56 + -26b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '26b' to each side of the equation. -48 + 26b = 56 + -26b + 26b Combine like terms: -26b + 26b = 0 -48 + 26b = 56 + 0 -48 + 26b = 56 Add '48' to each side of the equation. -48 + 48 + 26b = 56 + 48 Combine like terms: -48 + 48 = 0 0 + 26b = 56 + 48 26b = 56 + 48 Combine like terms: 56 + 48 = 104 26b = 104 Divide each side by '26'. b = 4 Simplifying b = 4
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