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Simplifying 5 + 3(q + -4) = 29(q + 1) Reorder the terms: 5 + 3(-4 + q) = 29(q + 1) 5 + (-4 * 3 + q * 3) = 29(q + 1) 5 + (-12 + 3q) = 29(q + 1) Combine like terms: 5 + -12 = -7 -7 + 3q = 29(q + 1) Reorder the terms: -7 + 3q = 29(1 + q) -7 + 3q = (1 * 29 + q * 29) -7 + 3q = (29 + 29q) Solving -7 + 3q = 29 + 29q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-29q' to each side of the equation. -7 + 3q + -29q = 29 + 29q + -29q Combine like terms: 3q + -29q = -26q -7 + -26q = 29 + 29q + -29q Combine like terms: 29q + -29q = 0 -7 + -26q = 29 + 0 -7 + -26q = 29 Add '7' to each side of the equation. -7 + 7 + -26q = 29 + 7 Combine like terms: -7 + 7 = 0 0 + -26q = 29 + 7 -26q = 29 + 7 Combine like terms: 29 + 7 = 36 -26q = 36 Divide each side by '-26'. q = -1.384615385 Simplifying q = -1.384615385
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