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Simplifying 5 = 54(q + -5) + -19 Reorder the terms: 5 = 54(-5 + q) + -19 5 = (-5 * 54 + q * 54) + -19 5 = (-270 + 54q) + -19 Reorder the terms: 5 = -270 + -19 + 54q Combine like terms: -270 + -19 = -289 5 = -289 + 54q Solving 5 = -289 + 54q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-54q' to each side of the equation. 5 + -54q = -289 + 54q + -54q Combine like terms: 54q + -54q = 0 5 + -54q = -289 + 0 5 + -54q = -289 Add '-5' to each side of the equation. 5 + -5 + -54q = -289 + -5 Combine like terms: 5 + -5 = 0 0 + -54q = -289 + -5 -54q = -289 + -5 Combine like terms: -289 + -5 = -294 -54q = -294 Divide each side by '-54'. q = 5.444444444 Simplifying q = 5.444444444
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