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Simplifying 8(q + -5) + 5q = 14(q + -4) Reorder the terms: 8(-5 + q) + 5q = 14(q + -4) (-5 * 8 + q * 8) + 5q = 14(q + -4) (-40 + 8q) + 5q = 14(q + -4) Combine like terms: 8q + 5q = 13q -40 + 13q = 14(q + -4) Reorder the terms: -40 + 13q = 14(-4 + q) -40 + 13q = (-4 * 14 + q * 14) -40 + 13q = (-56 + 14q) Solving -40 + 13q = -56 + 14q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-14q' to each side of the equation. -40 + 13q + -14q = -56 + 14q + -14q Combine like terms: 13q + -14q = -1q -40 + -1q = -56 + 14q + -14q Combine like terms: 14q + -14q = 0 -40 + -1q = -56 + 0 -40 + -1q = -56 Add '40' to each side of the equation. -40 + 40 + -1q = -56 + 40 Combine like terms: -40 + 40 = 0 0 + -1q = -56 + 40 -1q = -56 + 40 Combine like terms: -56 + 40 = -16 -1q = -16 Divide each side by '-1'. q = 16 Simplifying q = 16
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