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Simplifying 50(t + -2) = 70(t + 2) Reorder the terms: 50(-2 + t) = 70(t + 2) (-2 * 50 + t * 50) = 70(t + 2) (-100 + 50t) = 70(t + 2) Reorder the terms: -100 + 50t = 70(2 + t) -100 + 50t = (2 * 70 + t * 70) -100 + 50t = (140 + 70t) Solving -100 + 50t = 140 + 70t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-70t' to each side of the equation. -100 + 50t + -70t = 140 + 70t + -70t Combine like terms: 50t + -70t = -20t -100 + -20t = 140 + 70t + -70t Combine like terms: 70t + -70t = 0 -100 + -20t = 140 + 0 -100 + -20t = 140 Add '100' to each side of the equation. -100 + 100 + -20t = 140 + 100 Combine like terms: -100 + 100 = 0 0 + -20t = 140 + 100 -20t = 140 + 100 Combine like terms: 140 + 100 = 240 -20t = 240 Divide each side by '-20'. t = -12 Simplifying t = -12
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