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Simplifying -4 = 6(t + -4) + -5t Reorder the terms: -4 = 6(-4 + t) + -5t -4 = (-4 * 6 + t * 6) + -5t -4 = (-24 + 6t) + -5t Combine like terms: 6t + -5t = 1t -4 = -24 + 1t Solving -4 = -24 + 1t 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. -4 + -1t = -24 + 1t + -1t Combine like terms: 1t + -1t = 0 -4 + -1t = -24 + 0 -4 + -1t = -24 Add '4' to each side of the equation. -4 + 4 + -1t = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = -24 + 4 -1t = -24 + 4 Combine like terms: -24 + 4 = -20 -1t = -20 Divide each side by '-1'. t = 20 Simplifying t = 20
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