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Simplifying -45t + 68 = 84t + -61 Reorder the terms: 68 + -45t = 84t + -61 Reorder the terms: 68 + -45t = -61 + 84t Solving 68 + -45t = -61 + 84t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-84t' to each side of the equation. 68 + -45t + -84t = -61 + 84t + -84t Combine like terms: -45t + -84t = -129t 68 + -129t = -61 + 84t + -84t Combine like terms: 84t + -84t = 0 68 + -129t = -61 + 0 68 + -129t = -61 Add '-68' to each side of the equation. 68 + -68 + -129t = -61 + -68 Combine like terms: 68 + -68 = 0 0 + -129t = -61 + -68 -129t = -61 + -68 Combine like terms: -61 + -68 = -129 -129t = -129 Divide each side by '-129'. t = 1 Simplifying t = 1
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