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Simplifying 9(t + -4) + -4(5t + 1) = -12(t + 4) + -7 Reorder the terms: 9(-4 + t) + -4(5t + 1) = -12(t + 4) + -7 (-4 * 9 + t * 9) + -4(5t + 1) = -12(t + 4) + -7 (-36 + 9t) + -4(5t + 1) = -12(t + 4) + -7 Reorder the terms: -36 + 9t + -4(1 + 5t) = -12(t + 4) + -7 -36 + 9t + (1 * -4 + 5t * -4) = -12(t + 4) + -7 -36 + 9t + (-4 + -20t) = -12(t + 4) + -7 Reorder the terms: -36 + -4 + 9t + -20t = -12(t + 4) + -7 Combine like terms: -36 + -4 = -40 -40 + 9t + -20t = -12(t + 4) + -7 Combine like terms: 9t + -20t = -11t -40 + -11t = -12(t + 4) + -7 Reorder the terms: -40 + -11t = -12(4 + t) + -7 -40 + -11t = (4 * -12 + t * -12) + -7 -40 + -11t = (-48 + -12t) + -7 Reorder the terms: -40 + -11t = -48 + -7 + -12t Combine like terms: -48 + -7 = -55 -40 + -11t = -55 + -12t Solving -40 + -11t = -55 + -12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12t' to each side of the equation. -40 + -11t + 12t = -55 + -12t + 12t Combine like terms: -11t + 12t = 1t -40 + 1t = -55 + -12t + 12t Combine like terms: -12t + 12t = 0 -40 + 1t = -55 + 0 -40 + 1t = -55 Add '40' to each side of the equation. -40 + 40 + 1t = -55 + 40 Combine like terms: -40 + 40 = 0 0 + 1t = -55 + 40 1t = -55 + 40 Combine like terms: -55 + 40 = -15 1t = -15 Divide each side by '1'. t = -15 Simplifying t = -15
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