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Simplifying 5 + -7(t + 1) = -10 + 3 Reorder the terms: 5 + -7(1 + t) = -10 + 3 5 + (1 * -7 + t * -7) = -10 + 3 5 + (-7 + -7t) = -10 + 3 Combine like terms: 5 + -7 = -2 -2 + -7t = -10 + 3 Combine like terms: -10 + 3 = -7 -2 + -7t = -7 Solving -2 + -7t = -7 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7t = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -7t = -7 + 2 -7t = -7 + 2 Combine like terms: -7 + 2 = -5 -7t = -5 Divide each side by '-7'. t = 0.7142857143 Simplifying t = 0.7142857143
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