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Simplifying 4(t + -4) + 3t = 32 + -1t Reorder the terms: 4(-4 + t) + 3t = 32 + -1t (-4 * 4 + t * 4) + 3t = 32 + -1t (-16 + 4t) + 3t = 32 + -1t Combine like terms: 4t + 3t = 7t -16 + 7t = 32 + -1t Solving -16 + 7t = 32 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -16 + 7t + t = 32 + -1t + t Combine like terms: 7t + t = 8t -16 + 8t = 32 + -1t + t Combine like terms: -1t + t = 0 -16 + 8t = 32 + 0 -16 + 8t = 32 Add '16' to each side of the equation. -16 + 16 + 8t = 32 + 16 Combine like terms: -16 + 16 = 0 0 + 8t = 32 + 16 8t = 32 + 16 Combine like terms: 32 + 16 = 48 8t = 48 Divide each side by '8'. t = 6 Simplifying t = 6
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