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Simplifying -4(t + -3) + 4(4 + -7t) = -33(t + -2) + -9 Reorder the terms: -4(-3 + t) + 4(4 + -7t) = -33(t + -2) + -9 (-3 * -4 + t * -4) + 4(4 + -7t) = -33(t + -2) + -9 (12 + -4t) + 4(4 + -7t) = -33(t + -2) + -9 12 + -4t + (4 * 4 + -7t * 4) = -33(t + -2) + -9 12 + -4t + (16 + -28t) = -33(t + -2) + -9 Reorder the terms: 12 + 16 + -4t + -28t = -33(t + -2) + -9 Combine like terms: 12 + 16 = 28 28 + -4t + -28t = -33(t + -2) + -9 Combine like terms: -4t + -28t = -32t 28 + -32t = -33(t + -2) + -9 Reorder the terms: 28 + -32t = -33(-2 + t) + -9 28 + -32t = (-2 * -33 + t * -33) + -9 28 + -32t = (66 + -33t) + -9 Reorder the terms: 28 + -32t = 66 + -9 + -33t Combine like terms: 66 + -9 = 57 28 + -32t = 57 + -33t Solving 28 + -32t = 57 + -33t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '33t' to each side of the equation. 28 + -32t + 33t = 57 + -33t + 33t Combine like terms: -32t + 33t = 1t 28 + 1t = 57 + -33t + 33t Combine like terms: -33t + 33t = 0 28 + 1t = 57 + 0 28 + 1t = 57 Add '-28' to each side of the equation. 28 + -28 + 1t = 57 + -28 Combine like terms: 28 + -28 = 0 0 + 1t = 57 + -28 1t = 57 + -28 Combine like terms: 57 + -28 = 29 1t = 29 Divide each side by '1'. t = 29 Simplifying t = 29
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