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Simplifying -28 + -2.6q = -3.8q + 4(4.3q + 1) Reorder the terms: -28 + -2.6q = -3.8q + 4(1 + 4.3q) -28 + -2.6q = -3.8q + (1 * 4 + 4.3q * 4) -28 + -2.6q = -3.8q + (4 + 17.2q) Reorder the terms: -28 + -2.6q = 4 + -3.8q + 17.2q Combine like terms: -3.8q + 17.2q = 13.4q -28 + -2.6q = 4 + 13.4q Solving -28 + -2.6q = 4 + 13.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13.4q' to each side of the equation. -28 + -2.6q + -13.4q = 4 + 13.4q + -13.4q Combine like terms: -2.6q + -13.4q = -16q -28 + -16q = 4 + 13.4q + -13.4q Combine like terms: 13.4q + -13.4q = 0.0 -28 + -16q = 4 + 0.0 -28 + -16q = 4 Add '28' to each side of the equation. -28 + 28 + -16q = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -16q = 4 + 28 -16q = 4 + 28 Combine like terms: 4 + 28 = 32 -16q = 32 Divide each side by '-16'. q = -2 Simplifying q = -2
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