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Simplifying 7 + -1(4 + 3t) + 2t = -6(t + -2) + -5 7 + (4 * -1 + 3t * -1) + 2t = -6(t + -2) + -5 7 + (-4 + -3t) + 2t = -6(t + -2) + -5 Combine like terms: 7 + -4 = 3 3 + -3t + 2t = -6(t + -2) + -5 Combine like terms: -3t + 2t = -1t 3 + -1t = -6(t + -2) + -5 Reorder the terms: 3 + -1t = -6(-2 + t) + -5 3 + -1t = (-2 * -6 + t * -6) + -5 3 + -1t = (12 + -6t) + -5 Reorder the terms: 3 + -1t = 12 + -5 + -6t Combine like terms: 12 + -5 = 7 3 + -1t = 7 + -6t Solving 3 + -1t = 7 + -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. 3 + -1t + 6t = 7 + -6t + 6t Combine like terms: -1t + 6t = 5t 3 + 5t = 7 + -6t + 6t Combine like terms: -6t + 6t = 0 3 + 5t = 7 + 0 3 + 5t = 7 Add '-3' to each side of the equation. 3 + -3 + 5t = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 5t = 7 + -3 5t = 7 + -3 Combine like terms: 7 + -3 = 4 5t = 4 Divide each side by '5'. t = 0.8 Simplifying t = 0.8
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