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Simplifying 7(t + -4) + -2t = 4(t + -3) Reorder the terms: 7(-4 + t) + -2t = 4(t + -3) (-4 * 7 + t * 7) + -2t = 4(t + -3) (-28 + 7t) + -2t = 4(t + -3) Combine like terms: 7t + -2t = 5t -28 + 5t = 4(t + -3) Reorder the terms: -28 + 5t = 4(-3 + t) -28 + 5t = (-3 * 4 + t * 4) -28 + 5t = (-12 + 4t) Solving -28 + 5t = -12 + 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. -28 + 5t + -4t = -12 + 4t + -4t Combine like terms: 5t + -4t = 1t -28 + 1t = -12 + 4t + -4t Combine like terms: 4t + -4t = 0 -28 + 1t = -12 + 0 -28 + 1t = -12 Add '28' to each side of the equation. -28 + 28 + 1t = -12 + 28 Combine like terms: -28 + 28 = 0 0 + 1t = -12 + 28 1t = -12 + 28 Combine like terms: -12 + 28 = 16 1t = 16 Divide each side by '1'. t = 16 Simplifying t = 16
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