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Simplifying 4(t + 7) + 4(-5t + -5) = -17(t + -1) + 10 Reorder the terms: 4(7 + t) + 4(-5t + -5) = -17(t + -1) + 10 (7 * 4 + t * 4) + 4(-5t + -5) = -17(t + -1) + 10 (28 + 4t) + 4(-5t + -5) = -17(t + -1) + 10 Reorder the terms: 28 + 4t + 4(-5 + -5t) = -17(t + -1) + 10 28 + 4t + (-5 * 4 + -5t * 4) = -17(t + -1) + 10 28 + 4t + (-20 + -20t) = -17(t + -1) + 10 Reorder the terms: 28 + -20 + 4t + -20t = -17(t + -1) + 10 Combine like terms: 28 + -20 = 8 8 + 4t + -20t = -17(t + -1) + 10 Combine like terms: 4t + -20t = -16t 8 + -16t = -17(t + -1) + 10 Reorder the terms: 8 + -16t = -17(-1 + t) + 10 8 + -16t = (-1 * -17 + t * -17) + 10 8 + -16t = (17 + -17t) + 10 Reorder the terms: 8 + -16t = 17 + 10 + -17t Combine like terms: 17 + 10 = 27 8 + -16t = 27 + -17t Solving 8 + -16t = 27 + -17t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17t' to each side of the equation. 8 + -16t + 17t = 27 + -17t + 17t Combine like terms: -16t + 17t = 1t 8 + 1t = 27 + -17t + 17t Combine like terms: -17t + 17t = 0 8 + 1t = 27 + 0 8 + 1t = 27 Add '-8' to each side of the equation. 8 + -8 + 1t = 27 + -8 Combine like terms: 8 + -8 = 0 0 + 1t = 27 + -8 1t = 27 + -8 Combine like terms: 27 + -8 = 19 1t = 19 Divide each side by '1'. t = 19 Simplifying t = 19
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