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Simplifying (17b + -6) + -4(4b + 3) = -6 Reorder the terms: (-6 + 17b) + -4(4b + 3) = -6 Remove parenthesis around (-6 + 17b) -6 + 17b + -4(4b + 3) = -6 Reorder the terms: -6 + 17b + -4(3 + 4b) = -6 -6 + 17b + (3 * -4 + 4b * -4) = -6 -6 + 17b + (-12 + -16b) = -6 Reorder the terms: -6 + -12 + 17b + -16b = -6 Combine like terms: -6 + -12 = -18 -18 + 17b + -16b = -6 Combine like terms: 17b + -16b = 1b -18 + 1b = -6 Solving -18 + 1b = -6 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 1b = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 1b = -6 + 18 1b = -6 + 18 Combine like terms: -6 + 18 = 12 1b = 12 Divide each side by '1'. b = 12 Simplifying b = 12
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