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Simplifying 8(t + -4) + 7t = (3t + -3) + -12 Reorder the terms: 8(-4 + t) + 7t = (3t + -3) + -12 (-4 * 8 + t * 8) + 7t = (3t + -3) + -12 (-32 + 8t) + 7t = (3t + -3) + -12 Combine like terms: 8t + 7t = 15t -32 + 15t = (3t + -3) + -12 Reorder the terms: -32 + 15t = (-3 + 3t) + -12 Remove parenthesis around (-3 + 3t) -32 + 15t = -3 + 3t + -12 Reorder the terms: -32 + 15t = -3 + -12 + 3t Combine like terms: -3 + -12 = -15 -32 + 15t = -15 + 3t Solving -32 + 15t = -15 + 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. -32 + 15t + -3t = -15 + 3t + -3t Combine like terms: 15t + -3t = 12t -32 + 12t = -15 + 3t + -3t Combine like terms: 3t + -3t = 0 -32 + 12t = -15 + 0 -32 + 12t = -15 Add '32' to each side of the equation. -32 + 32 + 12t = -15 + 32 Combine like terms: -32 + 32 = 0 0 + 12t = -15 + 32 12t = -15 + 32 Combine like terms: -15 + 32 = 17 12t = 17 Divide each side by '12'. t = 1.416666667 Simplifying t = 1.416666667
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