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Simplifying 5(-3b + 8) + -6(2b + 8) = -62 Reorder the terms: 5(8 + -3b) + -6(2b + 8) = -62 (8 * 5 + -3b * 5) + -6(2b + 8) = -62 (40 + -15b) + -6(2b + 8) = -62 Reorder the terms: 40 + -15b + -6(8 + 2b) = -62 40 + -15b + (8 * -6 + 2b * -6) = -62 40 + -15b + (-48 + -12b) = -62 Reorder the terms: 40 + -48 + -15b + -12b = -62 Combine like terms: 40 + -48 = -8 -8 + -15b + -12b = -62 Combine like terms: -15b + -12b = -27b -8 + -27b = -62 Solving -8 + -27b = -62 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -27b = -62 + 8 Combine like terms: -8 + 8 = 0 0 + -27b = -62 + 8 -27b = -62 + 8 Combine like terms: -62 + 8 = -54 -27b = -54 Divide each side by '-27'. b = 2 Simplifying b = 2
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