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Simplifying 5(t + -5) + 7 = 4(3t + 3) + -8 Reorder the terms: 5(-5 + t) + 7 = 4(3t + 3) + -8 (-5 * 5 + t * 5) + 7 = 4(3t + 3) + -8 (-25 + 5t) + 7 = 4(3t + 3) + -8 Reorder the terms: -25 + 7 + 5t = 4(3t + 3) + -8 Combine like terms: -25 + 7 = -18 -18 + 5t = 4(3t + 3) + -8 Reorder the terms: -18 + 5t = 4(3 + 3t) + -8 -18 + 5t = (3 * 4 + 3t * 4) + -8 -18 + 5t = (12 + 12t) + -8 Reorder the terms: -18 + 5t = 12 + -8 + 12t Combine like terms: 12 + -8 = 4 -18 + 5t = 4 + 12t Solving -18 + 5t = 4 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -18 + 5t + -12t = 4 + 12t + -12t Combine like terms: 5t + -12t = -7t -18 + -7t = 4 + 12t + -12t Combine like terms: 12t + -12t = 0 -18 + -7t = 4 + 0 -18 + -7t = 4 Add '18' to each side of the equation. -18 + 18 + -7t = 4 + 18 Combine like terms: -18 + 18 = 0 0 + -7t = 4 + 18 -7t = 4 + 18 Combine like terms: 4 + 18 = 22 -7t = 22 Divide each side by '-7'. t = -3.142857143 Simplifying t = -3.142857143
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