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Simplifying -5(3b + 1) + (16b + -6) = 0 Reorder the terms: -5(1 + 3b) + (16b + -6) = 0 (1 * -5 + 3b * -5) + (16b + -6) = 0 (-5 + -15b) + (16b + -6) = 0 Reorder the terms: -5 + -15b + (-6 + 16b) = 0 Remove parenthesis around (-6 + 16b) -5 + -15b + -6 + 16b = 0 Reorder the terms: -5 + -6 + -15b + 16b = 0 Combine like terms: -5 + -6 = -11 -11 + -15b + 16b = 0 Combine like terms: -15b + 16b = 1b -11 + 1b = 0 Solving -11 + 1b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1b = 0 + 11 1b = 0 + 11 Combine like terms: 0 + 11 = 11 1b = 11 Divide each side by '1'. b = 11 Simplifying b = 11
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