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Simplifying 28.32 + -1(48 + q) = 3q + -51.68 28.32 + (48 * -1 + q * -1) = 3q + -51.68 28.32 + (-48 + -1q) = 3q + -51.68 Combine like terms: 28.32 + -48 = -19.68 -19.68 + -1q = 3q + -51.68 Reorder the terms: -19.68 + -1q = -51.68 + 3q Solving -19.68 + -1q = -51.68 + 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. -19.68 + -1q + -3q = -51.68 + 3q + -3q Combine like terms: -1q + -3q = -4q -19.68 + -4q = -51.68 + 3q + -3q Combine like terms: 3q + -3q = 0 -19.68 + -4q = -51.68 + 0 -19.68 + -4q = -51.68 Add '19.68' to each side of the equation. -19.68 + 19.68 + -4q = -51.68 + 19.68 Combine like terms: -19.68 + 19.68 = 0.00 0.00 + -4q = -51.68 + 19.68 -4q = -51.68 + 19.68 Combine like terms: -51.68 + 19.68 = -32 -4q = -32 Divide each side by '-4'. q = 8 Simplifying q = 8
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