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Simplifying -4(t + 4) + -3(8t + -3) = -29(t + 1) + 7 Reorder the terms: -4(4 + t) + -3(8t + -3) = -29(t + 1) + 7 (4 * -4 + t * -4) + -3(8t + -3) = -29(t + 1) + 7 (-16 + -4t) + -3(8t + -3) = -29(t + 1) + 7 Reorder the terms: -16 + -4t + -3(-3 + 8t) = -29(t + 1) + 7 -16 + -4t + (-3 * -3 + 8t * -3) = -29(t + 1) + 7 -16 + -4t + (9 + -24t) = -29(t + 1) + 7 Reorder the terms: -16 + 9 + -4t + -24t = -29(t + 1) + 7 Combine like terms: -16 + 9 = -7 -7 + -4t + -24t = -29(t + 1) + 7 Combine like terms: -4t + -24t = -28t -7 + -28t = -29(t + 1) + 7 Reorder the terms: -7 + -28t = -29(1 + t) + 7 -7 + -28t = (1 * -29 + t * -29) + 7 -7 + -28t = (-29 + -29t) + 7 Reorder the terms: -7 + -28t = -29 + 7 + -29t Combine like terms: -29 + 7 = -22 -7 + -28t = -22 + -29t Solving -7 + -28t = -22 + -29t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '29t' to each side of the equation. -7 + -28t + 29t = -22 + -29t + 29t Combine like terms: -28t + 29t = 1t -7 + 1t = -22 + -29t + 29t Combine like terms: -29t + 29t = 0 -7 + 1t = -22 + 0 -7 + 1t = -22 Add '7' to each side of the equation. -7 + 7 + 1t = -22 + 7 Combine like terms: -7 + 7 = 0 0 + 1t = -22 + 7 1t = -22 + 7 Combine like terms: -22 + 7 = -15 1t = -15 Divide each side by '1'. t = -15 Simplifying t = -15
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