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Simplifying 3t + -7 = 4(t + 3) Reorder the terms: -7 + 3t = 4(t + 3) Reorder the terms: -7 + 3t = 4(3 + t) -7 + 3t = (3 * 4 + t * 4) -7 + 3t = (12 + 4t) Solving -7 + 3t = 12 + 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. -7 + 3t + -4t = 12 + 4t + -4t Combine like terms: 3t + -4t = -1t -7 + -1t = 12 + 4t + -4t Combine like terms: 4t + -4t = 0 -7 + -1t = 12 + 0 -7 + -1t = 12 Add '7' to each side of the equation. -7 + 7 + -1t = 12 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 12 + 7 -1t = 12 + 7 Combine like terms: 12 + 7 = 19 -1t = 19 Divide each side by '-1'. t = -19 Simplifying t = -19
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