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Simplifying 10(t + -4) + 8t = (3t + 3) + -10 Reorder the terms: 10(-4 + t) + 8t = (3t + 3) + -10 (-4 * 10 + t * 10) + 8t = (3t + 3) + -10 (-40 + 10t) + 8t = (3t + 3) + -10 Combine like terms: 10t + 8t = 18t -40 + 18t = (3t + 3) + -10 Reorder the terms: -40 + 18t = (3 + 3t) + -10 Remove parenthesis around (3 + 3t) -40 + 18t = 3 + 3t + -10 Reorder the terms: -40 + 18t = 3 + -10 + 3t Combine like terms: 3 + -10 = -7 -40 + 18t = -7 + 3t Solving -40 + 18t = -7 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -40 + 18t + -3t = -7 + 3t + -3t Combine like terms: 18t + -3t = 15t -40 + 15t = -7 + 3t + -3t Combine like terms: 3t + -3t = 0 -40 + 15t = -7 + 0 -40 + 15t = -7 Add '40' to each side of the equation. -40 + 40 + 15t = -7 + 40 Combine like terms: -40 + 40 = 0 0 + 15t = -7 + 40 15t = -7 + 40 Combine like terms: -7 + 40 = 33 15t = 33 Divide each side by '15'. t = 2.2 Simplifying t = 2.2
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