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Simplifying (17b + -5) + -4(4b + 3) = -3 Reorder the terms: (-5 + 17b) + -4(4b + 3) = -3 Remove parenthesis around (-5 + 17b) -5 + 17b + -4(4b + 3) = -3 Reorder the terms: -5 + 17b + -4(3 + 4b) = -3 -5 + 17b + (3 * -4 + 4b * -4) = -3 -5 + 17b + (-12 + -16b) = -3 Reorder the terms: -5 + -12 + 17b + -16b = -3 Combine like terms: -5 + -12 = -17 -17 + 17b + -16b = -3 Combine like terms: 17b + -16b = 1b -17 + 1b = -3 Solving -17 + 1b = -3 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 1b = -3 + 17 Combine like terms: -17 + 17 = 0 0 + 1b = -3 + 17 1b = -3 + 17 Combine like terms: -3 + 17 = 14 1b = 14 Divide each side by '1'. b = 14 Simplifying b = 14
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