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Simplifying 2(4t + -6) = 4(3t + -7) Reorder the terms: 2(-6 + 4t) = 4(3t + -7) (-6 * 2 + 4t * 2) = 4(3t + -7) (-12 + 8t) = 4(3t + -7) Reorder the terms: -12 + 8t = 4(-7 + 3t) -12 + 8t = (-7 * 4 + 3t * 4) -12 + 8t = (-28 + 12t) Solving -12 + 8t = -28 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. -12 + 8t + -12t = -28 + 12t + -12t Combine like terms: 8t + -12t = -4t -12 + -4t = -28 + 12t + -12t Combine like terms: 12t + -12t = 0 -12 + -4t = -28 + 0 -12 + -4t = -28 Add '12' to each side of the equation. -12 + 12 + -4t = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -4t = -28 + 12 -4t = -28 + 12 Combine like terms: -28 + 12 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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