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Simplifying 18q + -10 = -2(-8q + -13) Reorder the terms: -10 + 18q = -2(-8q + -13) Reorder the terms: -10 + 18q = -2(-13 + -8q) -10 + 18q = (-13 * -2 + -8q * -2) -10 + 18q = (26 + 16q) Solving -10 + 18q = 26 + 16q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-16q' to each side of the equation. -10 + 18q + -16q = 26 + 16q + -16q Combine like terms: 18q + -16q = 2q -10 + 2q = 26 + 16q + -16q Combine like terms: 16q + -16q = 0 -10 + 2q = 26 + 0 -10 + 2q = 26 Add '10' to each side of the equation. -10 + 10 + 2q = 26 + 10 Combine like terms: -10 + 10 = 0 0 + 2q = 26 + 10 2q = 26 + 10 Combine like terms: 26 + 10 = 36 2q = 36 Divide each side by '2'. q = 18 Simplifying q = 18
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