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Simplifying 19q + -14 = -19q + 4(12q + 19) Reorder the terms: -14 + 19q = -19q + 4(12q + 19) Reorder the terms: -14 + 19q = -19q + 4(19 + 12q) -14 + 19q = -19q + (19 * 4 + 12q * 4) -14 + 19q = -19q + (76 + 48q) Reorder the terms: -14 + 19q = 76 + -19q + 48q Combine like terms: -19q + 48q = 29q -14 + 19q = 76 + 29q Solving -14 + 19q = 76 + 29q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-29q' to each side of the equation. -14 + 19q + -29q = 76 + 29q + -29q Combine like terms: 19q + -29q = -10q -14 + -10q = 76 + 29q + -29q Combine like terms: 29q + -29q = 0 -14 + -10q = 76 + 0 -14 + -10q = 76 Add '14' to each side of the equation. -14 + 14 + -10q = 76 + 14 Combine like terms: -14 + 14 = 0 0 + -10q = 76 + 14 -10q = 76 + 14 Combine like terms: 76 + 14 = 90 -10q = 90 Divide each side by '-10'. q = -9 Simplifying q = -9
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