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Simplifying (17b + -9) + -4(4b + 1) = -3 Reorder the terms: (-9 + 17b) + -4(4b + 1) = -3 Remove parenthesis around (-9 + 17b) -9 + 17b + -4(4b + 1) = -3 Reorder the terms: -9 + 17b + -4(1 + 4b) = -3 -9 + 17b + (1 * -4 + 4b * -4) = -3 -9 + 17b + (-4 + -16b) = -3 Reorder the terms: -9 + -4 + 17b + -16b = -3 Combine like terms: -9 + -4 = -13 -13 + 17b + -16b = -3 Combine like terms: 17b + -16b = 1b -13 + 1b = -3 Solving -13 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 1b = -3 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -3 + 13 1b = -3 + 13 Combine like terms: -3 + 13 = 10 1b = 10 Divide each side by '1'. b = 10 Simplifying b = 10
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