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Simplifying (17b + -5) + -4(4b + 1) = -7 Reorder the terms: (-5 + 17b) + -4(4b + 1) = -7 Remove parenthesis around (-5 + 17b) -5 + 17b + -4(4b + 1) = -7 Reorder the terms: -5 + 17b + -4(1 + 4b) = -7 -5 + 17b + (1 * -4 + 4b * -4) = -7 -5 + 17b + (-4 + -16b) = -7 Reorder the terms: -5 + -4 + 17b + -16b = -7 Combine like terms: -5 + -4 = -9 -9 + 17b + -16b = -7 Combine like terms: 17b + -16b = 1b -9 + 1b = -7 Solving -9 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1b = -7 + 9 Combine like terms: -9 + 9 = 0 0 + 1b = -7 + 9 1b = -7 + 9 Combine like terms: -7 + 9 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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