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Simplifying 4(t + -5) + 2 = t + 3 Reorder the terms: 4(-5 + t) + 2 = t + 3 (-5 * 4 + t * 4) + 2 = t + 3 (-20 + 4t) + 2 = t + 3 Reorder the terms: -20 + 2 + 4t = t + 3 Combine like terms: -20 + 2 = -18 -18 + 4t = t + 3 Reorder the terms: -18 + 4t = 3 + t Solving -18 + 4t = 3 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -18 + 4t + -1t = 3 + t + -1t Combine like terms: 4t + -1t = 3t -18 + 3t = 3 + t + -1t Combine like terms: t + -1t = 0 -18 + 3t = 3 + 0 -18 + 3t = 3 Add '18' to each side of the equation. -18 + 18 + 3t = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 3t = 3 + 18 3t = 3 + 18 Combine like terms: 3 + 18 = 21 3t = 21 Divide each side by '3'. t = 7 Simplifying t = 7
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