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Simplifying 3t + -5 = 7t + -1t + -15 Reorder the terms: -5 + 3t = 7t + -1t + -15 Reorder the terms: -5 + 3t = -15 + 7t + -1t Combine like terms: 7t + -1t = 6t -5 + 3t = -15 + 6t Solving -5 + 3t = -15 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -5 + 3t + -6t = -15 + 6t + -6t Combine like terms: 3t + -6t = -3t -5 + -3t = -15 + 6t + -6t Combine like terms: 6t + -6t = 0 -5 + -3t = -15 + 0 -5 + -3t = -15 Add '5' to each side of the equation. -5 + 5 + -3t = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -3t = -15 + 5 -3t = -15 + 5 Combine like terms: -15 + 5 = -10 -3t = -10 Divide each side by '-3'. t = 3.333333333 Simplifying t = 3.333333333
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