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Simplifying 3t + -5 = 4(t + 7) Reorder the terms: -5 + 3t = 4(t + 7) Reorder the terms: -5 + 3t = 4(7 + t) -5 + 3t = (7 * 4 + t * 4) -5 + 3t = (28 + 4t) Solving -5 + 3t = 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. -5 + 3t + -4t = 28 + 4t + -4t Combine like terms: 3t + -4t = -1t -5 + -1t = 28 + 4t + -4t Combine like terms: 4t + -4t = 0 -5 + -1t = 28 + 0 -5 + -1t = 28 Add '5' to each side of the equation. -5 + 5 + -1t = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -1t = 28 + 5 -1t = 28 + 5 Combine like terms: 28 + 5 = 33 -1t = 33 Divide each side by '-1'. t = -33 Simplifying t = -33
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