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Simplifying 3t + -6 = 4(t + 7) Reorder the terms: -6 + 3t = 4(t + 7) Reorder the terms: -6 + 3t = 4(7 + t) -6 + 3t = (7 * 4 + t * 4) -6 + 3t = (28 + 4t) Solving -6 + 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. -6 + 3t + -4t = 28 + 4t + -4t Combine like terms: 3t + -4t = -1t -6 + -1t = 28 + 4t + -4t Combine like terms: 4t + -4t = 0 -6 + -1t = 28 + 0 -6 + -1t = 28 Add '6' to each side of the equation. -6 + 6 + -1t = 28 + 6 Combine like terms: -6 + 6 = 0 0 + -1t = 28 + 6 -1t = 28 + 6 Combine like terms: 28 + 6 = 34 -1t = 34 Divide each side by '-1'. t = -34 Simplifying t = -34
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