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Simplifying -3(t + -3) + -2(8t + 6) = -20(t + 2) + 7 Reorder the terms: -3(-3 + t) + -2(8t + 6) = -20(t + 2) + 7 (-3 * -3 + t * -3) + -2(8t + 6) = -20(t + 2) + 7 (9 + -3t) + -2(8t + 6) = -20(t + 2) + 7 Reorder the terms: 9 + -3t + -2(6 + 8t) = -20(t + 2) + 7 9 + -3t + (6 * -2 + 8t * -2) = -20(t + 2) + 7 9 + -3t + (-12 + -16t) = -20(t + 2) + 7 Reorder the terms: 9 + -12 + -3t + -16t = -20(t + 2) + 7 Combine like terms: 9 + -12 = -3 -3 + -3t + -16t = -20(t + 2) + 7 Combine like terms: -3t + -16t = -19t -3 + -19t = -20(t + 2) + 7 Reorder the terms: -3 + -19t = -20(2 + t) + 7 -3 + -19t = (2 * -20 + t * -20) + 7 -3 + -19t = (-40 + -20t) + 7 Reorder the terms: -3 + -19t = -40 + 7 + -20t Combine like terms: -40 + 7 = -33 -3 + -19t = -33 + -20t Solving -3 + -19t = -33 + -20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '20t' to each side of the equation. -3 + -19t + 20t = -33 + -20t + 20t Combine like terms: -19t + 20t = 1t -3 + 1t = -33 + -20t + 20t Combine like terms: -20t + 20t = 0 -3 + 1t = -33 + 0 -3 + 1t = -33 Add '3' to each side of the equation. -3 + 3 + 1t = -33 + 3 Combine like terms: -3 + 3 = 0 0 + 1t = -33 + 3 1t = -33 + 3 Combine like terms: -33 + 3 = -30 1t = -30 Divide each side by '1'. t = -30 Simplifying t = -30
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