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Simplifying 4 + 8(t + -7) = 4(t + 1) + 4 Reorder the terms: 4 + 8(-7 + t) = 4(t + 1) + 4 4 + (-7 * 8 + t * 8) = 4(t + 1) + 4 4 + (-56 + 8t) = 4(t + 1) + 4 Combine like terms: 4 + -56 = -52 -52 + 8t = 4(t + 1) + 4 Reorder the terms: -52 + 8t = 4(1 + t) + 4 -52 + 8t = (1 * 4 + t * 4) + 4 -52 + 8t = (4 + 4t) + 4 Reorder the terms: -52 + 8t = 4 + 4 + 4t Combine like terms: 4 + 4 = 8 -52 + 8t = 8 + 4t Solving -52 + 8t = 8 + 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. -52 + 8t + -4t = 8 + 4t + -4t Combine like terms: 8t + -4t = 4t -52 + 4t = 8 + 4t + -4t Combine like terms: 4t + -4t = 0 -52 + 4t = 8 + 0 -52 + 4t = 8 Add '52' to each side of the equation. -52 + 52 + 4t = 8 + 52 Combine like terms: -52 + 52 = 0 0 + 4t = 8 + 52 4t = 8 + 52 Combine like terms: 8 + 52 = 60 4t = 60 Divide each side by '4'. t = 15 Simplifying t = 15
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