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Simplifying 12t + -8 = 4(t + -7) Reorder the terms: -8 + 12t = 4(t + -7) Reorder the terms: -8 + 12t = 4(-7 + t) -8 + 12t = (-7 * 4 + t * 4) -8 + 12t = (-28 + 4t) Solving -8 + 12t = -28 + 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. -8 + 12t + -4t = -28 + 4t + -4t Combine like terms: 12t + -4t = 8t -8 + 8t = -28 + 4t + -4t Combine like terms: 4t + -4t = 0 -8 + 8t = -28 + 0 -8 + 8t = -28 Add '8' to each side of the equation. -8 + 8 + 8t = -28 + 8 Combine like terms: -8 + 8 = 0 0 + 8t = -28 + 8 8t = -28 + 8 Combine like terms: -28 + 8 = -20 8t = -20 Divide each side by '8'. t = -2.5 Simplifying t = -2.5
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