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Simplifying 8(q + -5) + 4q = 13(q + -2) Reorder the terms: 8(-5 + q) + 4q = 13(q + -2) (-5 * 8 + q * 8) + 4q = 13(q + -2) (-40 + 8q) + 4q = 13(q + -2) Combine like terms: 8q + 4q = 12q -40 + 12q = 13(q + -2) Reorder the terms: -40 + 12q = 13(-2 + q) -40 + 12q = (-2 * 13 + q * 13) -40 + 12q = (-26 + 13q) Solving -40 + 12q = -26 + 13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13q' to each side of the equation. -40 + 12q + -13q = -26 + 13q + -13q Combine like terms: 12q + -13q = -1q -40 + -1q = -26 + 13q + -13q Combine like terms: 13q + -13q = 0 -40 + -1q = -26 + 0 -40 + -1q = -26 Add '40' to each side of the equation. -40 + 40 + -1q = -26 + 40 Combine like terms: -40 + 40 = 0 0 + -1q = -26 + 40 -1q = -26 + 40 Combine like terms: -26 + 40 = 14 -1q = 14 Divide each side by '-1'. q = -14 Simplifying q = -14
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