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Simplifying 3t + -2 = 4(t + -4) Reorder the terms: -2 + 3t = 4(t + -4) Reorder the terms: -2 + 3t = 4(-4 + t) -2 + 3t = (-4 * 4 + t * 4) -2 + 3t = (-16 + 4t) Solving -2 + 3t = -16 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -2 + 3t + -4t = -16 + 4t + -4t Combine like terms: 3t + -4t = -1t -2 + -1t = -16 + 4t + -4t Combine like terms: 4t + -4t = 0 -2 + -1t = -16 + 0 -2 + -1t = -16 Add '2' to each side of the equation. -2 + 2 + -1t = -16 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = -16 + 2 -1t = -16 + 2 Combine like terms: -16 + 2 = -14 -1t = -14 Divide each side by '-1'. t = 14 Simplifying t = 14
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