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Simplifying 4(14q + -12) + 8q = 3(q + 18) Reorder the terms: 4(-12 + 14q) + 8q = 3(q + 18) (-12 * 4 + 14q * 4) + 8q = 3(q + 18) (-48 + 56q) + 8q = 3(q + 18) Combine like terms: 56q + 8q = 64q -48 + 64q = 3(q + 18) Reorder the terms: -48 + 64q = 3(18 + q) -48 + 64q = (18 * 3 + q * 3) -48 + 64q = (54 + 3q) Solving -48 + 64q = 54 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -48 + 64q + -3q = 54 + 3q + -3q Combine like terms: 64q + -3q = 61q -48 + 61q = 54 + 3q + -3q Combine like terms: 3q + -3q = 0 -48 + 61q = 54 + 0 -48 + 61q = 54 Add '48' to each side of the equation. -48 + 48 + 61q = 54 + 48 Combine like terms: -48 + 48 = 0 0 + 61q = 54 + 48 61q = 54 + 48 Combine like terms: 54 + 48 = 102 61q = 102 Divide each side by '61'. q = 1.672131148 Simplifying q = 1.672131148
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