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Simplifying (17b + -9) + -4(4b + 1) = -7 Reorder the terms: (-9 + 17b) + -4(4b + 1) = -7 Remove parenthesis around (-9 + 17b) -9 + 17b + -4(4b + 1) = -7 Reorder the terms: -9 + 17b + -4(1 + 4b) = -7 -9 + 17b + (1 * -4 + 4b * -4) = -7 -9 + 17b + (-4 + -16b) = -7 Reorder the terms: -9 + -4 + 17b + -16b = -7 Combine like terms: -9 + -4 = -13 -13 + 17b + -16b = -7 Combine like terms: 17b + -16b = 1b -13 + 1b = -7 Solving -13 + 1b = -7 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 = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 1b = -7 + 13 1b = -7 + 13 Combine like terms: -7 + 13 = 6 1b = 6 Divide each side by '1'. b = 6 Simplifying b = 6
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