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Simplifying 6(b + -5) = 10(b + 1) Reorder the terms: 6(-5 + b) = 10(b + 1) (-5 * 6 + b * 6) = 10(b + 1) (-30 + 6b) = 10(b + 1) Reorder the terms: -30 + 6b = 10(1 + b) -30 + 6b = (1 * 10 + b * 10) -30 + 6b = (10 + 10b) Solving -30 + 6b = 10 + 10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10b' to each side of the equation. -30 + 6b + -10b = 10 + 10b + -10b Combine like terms: 6b + -10b = -4b -30 + -4b = 10 + 10b + -10b Combine like terms: 10b + -10b = 0 -30 + -4b = 10 + 0 -30 + -4b = 10 Add '30' to each side of the equation. -30 + 30 + -4b = 10 + 30 Combine like terms: -30 + 30 = 0 0 + -4b = 10 + 30 -4b = 10 + 30 Combine like terms: 10 + 30 = 40 -4b = 40 Divide each side by '-4'. b = -10 Simplifying b = -10
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