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Simplifying 8(b + -3) + -4(1 + 4b) = -60 Reorder the terms: 8(-3 + b) + -4(1 + 4b) = -60 (-3 * 8 + b * 8) + -4(1 + 4b) = -60 (-24 + 8b) + -4(1 + 4b) = -60 -24 + 8b + (1 * -4 + 4b * -4) = -60 -24 + 8b + (-4 + -16b) = -60 Reorder the terms: -24 + -4 + 8b + -16b = -60 Combine like terms: -24 + -4 = -28 -28 + 8b + -16b = -60 Combine like terms: 8b + -16b = -8b -28 + -8b = -60 Solving -28 + -8b = -60 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -8b = -60 + 28 Combine like terms: -28 + 28 = 0 0 + -8b = -60 + 28 -8b = -60 + 28 Combine like terms: -60 + 28 = -32 -8b = -32 Divide each side by '-8'. b = 4 Simplifying b = 4
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