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Simplifying 4(t + 8) + -2t = t + -4 Reorder the terms: 4(8 + t) + -2t = t + -4 (8 * 4 + t * 4) + -2t = t + -4 (32 + 4t) + -2t = t + -4 Combine like terms: 4t + -2t = 2t 32 + 2t = t + -4 Reorder the terms: 32 + 2t = -4 + t Solving 32 + 2t = -4 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 32 + 2t + -1t = -4 + t + -1t Combine like terms: 2t + -1t = 1t 32 + 1t = -4 + t + -1t Combine like terms: t + -1t = 0 32 + 1t = -4 + 0 32 + 1t = -4 Add '-32' to each side of the equation. 32 + -32 + 1t = -4 + -32 Combine like terms: 32 + -32 = 0 0 + 1t = -4 + -32 1t = -4 + -32 Combine like terms: -4 + -32 = -36 1t = -36 Divide each side by '1'. t = -36 Simplifying t = -36
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