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Simplifying 3t + -4 = 4(t + -3) Reorder the terms: -4 + 3t = 4(t + -3) Reorder the terms: -4 + 3t = 4(-3 + t) -4 + 3t = (-3 * 4 + t * 4) -4 + 3t = (-12 + 4t) Solving -4 + 3t = -12 + 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. -4 + 3t + -4t = -12 + 4t + -4t Combine like terms: 3t + -4t = -1t -4 + -1t = -12 + 4t + -4t Combine like terms: 4t + -4t = 0 -4 + -1t = -12 + 0 -4 + -1t = -12 Add '4' to each side of the equation. -4 + 4 + -1t = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1t = -12 + 4 -1t = -12 + 4 Combine like terms: -12 + 4 = -8 -1t = -8 Divide each side by '-1'. t = 8 Simplifying t = 8
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