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Simplifying 3t + -15 + 4(t + -7) = 0 Reorder the terms: 3t + -15 + 4(-7 + t) = 0 3t + -15 + (-7 * 4 + t * 4) = 0 3t + -15 + (-28 + 4t) = 0 Reorder the terms: -15 + -28 + 3t + 4t = 0 Combine like terms: -15 + -28 = -43 -43 + 3t + 4t = 0 Combine like terms: 3t + 4t = 7t -43 + 7t = 0 Solving -43 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 7t = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 7t = 0 + 43 7t = 0 + 43 Combine like terms: 0 + 43 = 43 7t = 43 Divide each side by '7'. t = 6.142857143 Simplifying t = 6.142857143
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