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Simplifying -5(3b + 4) + (16b + -7) = 0 Reorder the terms: -5(4 + 3b) + (16b + -7) = 0 (4 * -5 + 3b * -5) + (16b + -7) = 0 (-20 + -15b) + (16b + -7) = 0 Reorder the terms: -20 + -15b + (-7 + 16b) = 0 Remove parenthesis around (-7 + 16b) -20 + -15b + -7 + 16b = 0 Reorder the terms: -20 + -7 + -15b + 16b = 0 Combine like terms: -20 + -7 = -27 -27 + -15b + 16b = 0 Combine like terms: -15b + 16b = 1b -27 + 1b = 0 Solving -27 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 1b = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 1b = 0 + 27 1b = 0 + 27 Combine like terms: 0 + 27 = 27 1b = 27 Divide each side by '1'. b = 27 Simplifying b = 27
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