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Simplifying 4t + -7 = 5(t + 3) Reorder the terms: -7 + 4t = 5(t + 3) Reorder the terms: -7 + 4t = 5(3 + t) -7 + 4t = (3 * 5 + t * 5) -7 + 4t = (15 + 5t) Solving -7 + 4t = 15 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -7 + 4t + -5t = 15 + 5t + -5t Combine like terms: 4t + -5t = -1t -7 + -1t = 15 + 5t + -5t Combine like terms: 5t + -5t = 0 -7 + -1t = 15 + 0 -7 + -1t = 15 Add '7' to each side of the equation. -7 + 7 + -1t = 15 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = 15 + 7 -1t = 15 + 7 Combine like terms: 15 + 7 = 22 -1t = 22 Divide each side by '-1'. t = -22 Simplifying t = -22
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