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Simplifying (16b + -7) + -5(3b + 1) = -4 Reorder the terms: (-7 + 16b) + -5(3b + 1) = -4 Remove parenthesis around (-7 + 16b) -7 + 16b + -5(3b + 1) = -4 Reorder the terms: -7 + 16b + -5(1 + 3b) = -4 -7 + 16b + (1 * -5 + 3b * -5) = -4 -7 + 16b + (-5 + -15b) = -4 Reorder the terms: -7 + -5 + 16b + -15b = -4 Combine like terms: -7 + -5 = -12 -12 + 16b + -15b = -4 Combine like terms: 16b + -15b = 1b -12 + 1b = -4 Solving -12 + 1b = -4 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1b = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 1b = -4 + 12 1b = -4 + 12 Combine like terms: -4 + 12 = 8 1b = 8 Divide each side by '1'. b = 8 Simplifying b = 8
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