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Simplifying 6(t + -5) = 2(t + -5) Reorder the terms: 6(-5 + t) = 2(t + -5) (-5 * 6 + t * 6) = 2(t + -5) (-30 + 6t) = 2(t + -5) Reorder the terms: -30 + 6t = 2(-5 + t) -30 + 6t = (-5 * 2 + t * 2) -30 + 6t = (-10 + 2t) Solving -30 + 6t = -10 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -30 + 6t + -2t = -10 + 2t + -2t Combine like terms: 6t + -2t = 4t -30 + 4t = -10 + 2t + -2t Combine like terms: 2t + -2t = 0 -30 + 4t = -10 + 0 -30 + 4t = -10 Add '30' to each side of the equation. -30 + 30 + 4t = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 4t = -10 + 30 4t = -10 + 30 Combine like terms: -10 + 30 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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