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Simplifying 0.6(t + 18) = -3(2 + -1t) Reorder the terms: 0.6(18 + t) = -3(2 + -1t) (18 * 0.6 + t * 0.6) = -3(2 + -1t) (10.8 + 0.6t) = -3(2 + -1t) 10.8 + 0.6t = (2 * -3 + -1t * -3) 10.8 + 0.6t = (-6 + 3t) Solving 10.8 + 0.6t = -6 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 10.8 + 0.6t + -3t = -6 + 3t + -3t Combine like terms: 0.6t + -3t = -2.4t 10.8 + -2.4t = -6 + 3t + -3t Combine like terms: 3t + -3t = 0 10.8 + -2.4t = -6 + 0 10.8 + -2.4t = -6 Add '-10.8' to each side of the equation. 10.8 + -10.8 + -2.4t = -6 + -10.8 Combine like terms: 10.8 + -10.8 = 0.0 0.0 + -2.4t = -6 + -10.8 -2.4t = -6 + -10.8 Combine like terms: -6 + -10.8 = -16.8 -2.4t = -16.8 Divide each side by '-2.4'. t = 7 Simplifying t = 7
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