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Simplifying 5(-3b + -14) = 3(2b + 2) + -19b Reorder the terms: 5(-14 + -3b) = 3(2b + 2) + -19b (-14 * 5 + -3b * 5) = 3(2b + 2) + -19b (-70 + -15b) = 3(2b + 2) + -19b Reorder the terms: -70 + -15b = 3(2 + 2b) + -19b -70 + -15b = (2 * 3 + 2b * 3) + -19b -70 + -15b = (6 + 6b) + -19b Combine like terms: 6b + -19b = -13b -70 + -15b = 6 + -13b Solving -70 + -15b = 6 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. -70 + -15b + 13b = 6 + -13b + 13b Combine like terms: -15b + 13b = -2b -70 + -2b = 6 + -13b + 13b Combine like terms: -13b + 13b = 0 -70 + -2b = 6 + 0 -70 + -2b = 6 Add '70' to each side of the equation. -70 + 70 + -2b = 6 + 70 Combine like terms: -70 + 70 = 0 0 + -2b = 6 + 70 -2b = 6 + 70 Combine like terms: 6 + 70 = 76 -2b = 76 Divide each side by '-2'. b = -38 Simplifying b = -38
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