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Simplifying -7(1 + 3b) + -6(2b + -5) = 56 (1 * -7 + 3b * -7) + -6(2b + -5) = 56 (-7 + -21b) + -6(2b + -5) = 56 Reorder the terms: -7 + -21b + -6(-5 + 2b) = 56 -7 + -21b + (-5 * -6 + 2b * -6) = 56 -7 + -21b + (30 + -12b) = 56 Reorder the terms: -7 + 30 + -21b + -12b = 56 Combine like terms: -7 + 30 = 23 23 + -21b + -12b = 56 Combine like terms: -21b + -12b = -33b 23 + -33b = 56 Solving 23 + -33b = 56 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -33b = 56 + -23 Combine like terms: 23 + -23 = 0 0 + -33b = 56 + -23 -33b = 56 + -23 Combine like terms: 56 + -23 = 33 -33b = 33 Divide each side by '-33'. b = -1 Simplifying b = -1
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