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Simplifying 5b + -7 = -6(-2b + 7) Reorder the terms: -7 + 5b = -6(-2b + 7) Reorder the terms: -7 + 5b = -6(7 + -2b) -7 + 5b = (7 * -6 + -2b * -6) -7 + 5b = (-42 + 12b) Solving -7 + 5b = -42 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -7 + 5b + -12b = -42 + 12b + -12b Combine like terms: 5b + -12b = -7b -7 + -7b = -42 + 12b + -12b Combine like terms: 12b + -12b = 0 -7 + -7b = -42 + 0 -7 + -7b = -42 Add '7' to each side of the equation. -7 + 7 + -7b = -42 + 7 Combine like terms: -7 + 7 = 0 0 + -7b = -42 + 7 -7b = -42 + 7 Combine like terms: -42 + 7 = -35 -7b = -35 Divide each side by '-7'. b = 5 Simplifying b = 5
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