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Simplifying (17b + -8) + -4(4b + 3) = -7 Reorder the terms: (-8 + 17b) + -4(4b + 3) = -7 Remove parenthesis around (-8 + 17b) -8 + 17b + -4(4b + 3) = -7 Reorder the terms: -8 + 17b + -4(3 + 4b) = -7 -8 + 17b + (3 * -4 + 4b * -4) = -7 -8 + 17b + (-12 + -16b) = -7 Reorder the terms: -8 + -12 + 17b + -16b = -7 Combine like terms: -8 + -12 = -20 -20 + 17b + -16b = -7 Combine like terms: 17b + -16b = 1b -20 + 1b = -7 Solving -20 + 1b = -7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1b = -7 + 20 Combine like terms: -20 + 20 = 0 0 + 1b = -7 + 20 1b = -7 + 20 Combine like terms: -7 + 20 = 13 1b = 13 Divide each side by '1'. b = 13 Simplifying b = 13
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