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Simplifying 4(t + -3) = 2t + -5(6 + -1t) Reorder the terms: 4(-3 + t) = 2t + -5(6 + -1t) (-3 * 4 + t * 4) = 2t + -5(6 + -1t) (-12 + 4t) = 2t + -5(6 + -1t) -12 + 4t = 2t + (6 * -5 + -1t * -5) -12 + 4t = 2t + (-30 + 5t) Reorder the terms: -12 + 4t = -30 + 2t + 5t Combine like terms: 2t + 5t = 7t -12 + 4t = -30 + 7t Solving -12 + 4t = -30 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -12 + 4t + -7t = -30 + 7t + -7t Combine like terms: 4t + -7t = -3t -12 + -3t = -30 + 7t + -7t Combine like terms: 7t + -7t = 0 -12 + -3t = -30 + 0 -12 + -3t = -30 Add '12' to each side of the equation. -12 + 12 + -3t = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = -30 + 12 -3t = -30 + 12 Combine like terms: -30 + 12 = -18 -3t = -18 Divide each side by '-3'. t = 6 Simplifying t = 6
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