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Simplifying 5t + -3 = -2(4 + -3t) Reorder the terms: -3 + 5t = -2(4 + -3t) -3 + 5t = (4 * -2 + -3t * -2) -3 + 5t = (-8 + 6t) Solving -3 + 5t = -8 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -3 + 5t + -6t = -8 + 6t + -6t Combine like terms: 5t + -6t = -1t -3 + -1t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 -3 + -1t = -8 + 0 -3 + -1t = -8 Add '3' to each side of the equation. -3 + 3 + -1t = -8 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = -8 + 3 -1t = -8 + 3 Combine like terms: -8 + 3 = -5 -1t = -5 Divide each side by '-1'. t = 5 Simplifying t = 5
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