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Simplifying 3t + -18 = 4(-3 + -0.75t) Reorder the terms: -18 + 3t = 4(-3 + -0.75t) -18 + 3t = (-3 * 4 + -0.75t * 4) -18 + 3t = (-12 + -3t) Solving -18 + 3t = -12 + -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. -18 + 3t + 3t = -12 + -3t + 3t Combine like terms: 3t + 3t = 6t -18 + 6t = -12 + -3t + 3t Combine like terms: -3t + 3t = 0 -18 + 6t = -12 + 0 -18 + 6t = -12 Add '18' to each side of the equation. -18 + 18 + 6t = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 6t = -12 + 18 6t = -12 + 18 Combine like terms: -12 + 18 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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