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Simplifying 3t + -7 = 4(t + -5) Reorder the terms: -7 + 3t = 4(t + -5) Reorder the terms: -7 + 3t = 4(-5 + t) -7 + 3t = (-5 * 4 + t * 4) -7 + 3t = (-20 + 4t) Solving -7 + 3t = -20 + 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 = -20 + 4t + -4t Combine like terms: 3t + -4t = -1t -7 + -1t = -20 + 4t + -4t Combine like terms: 4t + -4t = 0 -7 + -1t = -20 + 0 -7 + -1t = -20 Add '7' to each side of the equation. -7 + 7 + -1t = -20 + 7 Combine like terms: -7 + 7 = 0 0 + -1t = -20 + 7 -1t = -20 + 7 Combine like terms: -20 + 7 = -13 -1t = -13 Divide each side by '-1'. t = 13 Simplifying t = 13
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