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Simplifying 7t + 6 + -2(5 + 1.5t) = 5t + -11 7t + 6 + (5 * -2 + 1.5t * -2) = 5t + -11 7t + 6 + (-10 + -3t) = 5t + -11 Reorder the terms: 6 + -10 + 7t + -3t = 5t + -11 Combine like terms: 6 + -10 = -4 -4 + 7t + -3t = 5t + -11 Combine like terms: 7t + -3t = 4t -4 + 4t = 5t + -11 Reorder the terms: -4 + 4t = -11 + 5t Solving -4 + 4t = -11 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -4 + 4t + -5t = -11 + 5t + -5t Combine like terms: 4t + -5t = -1t -4 + -1t = -11 + 5t + -5t Combine like terms: 5t + -5t = 0 -4 + -1t = -11 + 0 -4 + -1t = -11 Add '4' to each side of the equation. -4 + 4 + -1t = -11 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = -11 + 4 -1t = -11 + 4 Combine like terms: -11 + 4 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7
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