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Simplifying 5(2b + -14) = 5b + 2 + -2(3b + 3) Reorder the terms: 5(-14 + 2b) = 5b + 2 + -2(3b + 3) (-14 * 5 + 2b * 5) = 5b + 2 + -2(3b + 3) (-70 + 10b) = 5b + 2 + -2(3b + 3) Reorder the terms: -70 + 10b = 5b + 2 + -2(3 + 3b) -70 + 10b = 5b + 2 + (3 * -2 + 3b * -2) -70 + 10b = 5b + 2 + (-6 + -6b) Reorder the terms: -70 + 10b = 2 + -6 + 5b + -6b Combine like terms: 2 + -6 = -4 -70 + 10b = -4 + 5b + -6b Combine like terms: 5b + -6b = -1b -70 + 10b = -4 + -1b Solving -70 + 10b = -4 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -70 + 10b + b = -4 + -1b + b Combine like terms: 10b + b = 11b -70 + 11b = -4 + -1b + b Combine like terms: -1b + b = 0 -70 + 11b = -4 + 0 -70 + 11b = -4 Add '70' to each side of the equation. -70 + 70 + 11b = -4 + 70 Combine like terms: -70 + 70 = 0 0 + 11b = -4 + 70 11b = -4 + 70 Combine like terms: -4 + 70 = 66 11b = 66 Divide each side by '11'. b = 6 Simplifying b = 6
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