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Simplifying 5(t + -3) + 6 = 4t + -4 Reorder the terms: 5(-3 + t) + 6 = 4t + -4 (-3 * 5 + t * 5) + 6 = 4t + -4 (-15 + 5t) + 6 = 4t + -4 Reorder the terms: -15 + 6 + 5t = 4t + -4 Combine like terms: -15 + 6 = -9 -9 + 5t = 4t + -4 Reorder the terms: -9 + 5t = -4 + 4t Solving -9 + 5t = -4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -9 + 5t + -4t = -4 + 4t + -4t Combine like terms: 5t + -4t = 1t -9 + 1t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 -9 + 1t = -4 + 0 -9 + 1t = -4 Add '9' to each side of the equation. -9 + 9 + 1t = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 1t = -4 + 9 1t = -4 + 9 Combine like terms: -4 + 9 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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