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Simplifying 7(t + -7) + -4(2t + -7) = 11 + -6(3 + 1) Reorder the terms: 7(-7 + t) + -4(2t + -7) = 11 + -6(3 + 1) (-7 * 7 + t * 7) + -4(2t + -7) = 11 + -6(3 + 1) (-49 + 7t) + -4(2t + -7) = 11 + -6(3 + 1) Reorder the terms: -49 + 7t + -4(-7 + 2t) = 11 + -6(3 + 1) -49 + 7t + (-7 * -4 + 2t * -4) = 11 + -6(3 + 1) -49 + 7t + (28 + -8t) = 11 + -6(3 + 1) Reorder the terms: -49 + 28 + 7t + -8t = 11 + -6(3 + 1) Combine like terms: -49 + 28 = -21 -21 + 7t + -8t = 11 + -6(3 + 1) Combine like terms: 7t + -8t = -1t -21 + -1t = 11 + -6(3 + 1) Combine like terms: 3 + 1 = 4 -21 + -1t = 11 + -6(4) Multiply -6 * 4 -21 + -1t = 11 + -24 Combine like terms: 11 + -24 = -13 -21 + -1t = -13 Solving -21 + -1t = -13 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1t = -13 + 21 Combine like terms: -21 + 21 = 0 0 + -1t = -13 + 21 -1t = -13 + 21 Combine like terms: -13 + 21 = 8 -1t = 8 Divide each side by '-1'. t = -8 Simplifying t = -8
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