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Simplifying 10(t + -4) = (2t + -8) Reorder the terms: 10(-4 + t) = (2t + -8) (-4 * 10 + t * 10) = (2t + -8) (-40 + 10t) = (2t + -8) Reorder the terms: -40 + 10t = (-8 + 2t) Remove parenthesis around (-8 + 2t) -40 + 10t = -8 + 2t Solving -40 + 10t = -8 + 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. -40 + 10t + -2t = -8 + 2t + -2t Combine like terms: 10t + -2t = 8t -40 + 8t = -8 + 2t + -2t Combine like terms: 2t + -2t = 0 -40 + 8t = -8 + 0 -40 + 8t = -8 Add '40' to each side of the equation. -40 + 40 + 8t = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 8t = -8 + 40 8t = -8 + 40 Combine like terms: -8 + 40 = 32 8t = 32 Divide each side by '8'. t = 4 Simplifying t = 4
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