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Simplifying 6(t + 1) + 7 = 10t + -7 Reorder the terms: 6(1 + t) + 7 = 10t + -7 (1 * 6 + t * 6) + 7 = 10t + -7 (6 + 6t) + 7 = 10t + -7 Reorder the terms: 6 + 7 + 6t = 10t + -7 Combine like terms: 6 + 7 = 13 13 + 6t = 10t + -7 Reorder the terms: 13 + 6t = -7 + 10t Solving 13 + 6t = -7 + 10t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-10t' to each side of the equation. 13 + 6t + -10t = -7 + 10t + -10t Combine like terms: 6t + -10t = -4t 13 + -4t = -7 + 10t + -10t Combine like terms: 10t + -10t = 0 13 + -4t = -7 + 0 13 + -4t = -7 Add '-13' to each side of the equation. 13 + -13 + -4t = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -4t = -7 + -13 -4t = -7 + -13 Combine like terms: -7 + -13 = -20 -4t = -20 Divide each side by '-4'. t = 5 Simplifying t = 5
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