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Simplifying 5t + -2 = 2(3t + -4) Reorder the terms: -2 + 5t = 2(3t + -4) Reorder the terms: -2 + 5t = 2(-4 + 3t) -2 + 5t = (-4 * 2 + 3t * 2) -2 + 5t = (-8 + 6t) Solving -2 + 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. -2 + 5t + -6t = -8 + 6t + -6t Combine like terms: 5t + -6t = -1t -2 + -1t = -8 + 6t + -6t Combine like terms: 6t + -6t = 0 -2 + -1t = -8 + 0 -2 + -1t = -8 Add '2' to each side of the equation. -2 + 2 + -1t = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = -8 + 2 -1t = -8 + 2 Combine like terms: -8 + 2 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6
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