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Simplifying -17 + 8t + 20t = 7(5t + -14) + 11 Combine like terms: 8t + 20t = 28t -17 + 28t = 7(5t + -14) + 11 Reorder the terms: -17 + 28t = 7(-14 + 5t) + 11 -17 + 28t = (-14 * 7 + 5t * 7) + 11 -17 + 28t = (-98 + 35t) + 11 Reorder the terms: -17 + 28t = -98 + 11 + 35t Combine like terms: -98 + 11 = -87 -17 + 28t = -87 + 35t Solving -17 + 28t = -87 + 35t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-35t' to each side of the equation. -17 + 28t + -35t = -87 + 35t + -35t Combine like terms: 28t + -35t = -7t -17 + -7t = -87 + 35t + -35t Combine like terms: 35t + -35t = 0 -17 + -7t = -87 + 0 -17 + -7t = -87 Add '17' to each side of the equation. -17 + 17 + -7t = -87 + 17 Combine like terms: -17 + 17 = 0 0 + -7t = -87 + 17 -7t = -87 + 17 Combine like terms: -87 + 17 = -70 -7t = -70 Divide each side by '-7'. t = 10 Simplifying t = 10
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