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Simplifying 19 + -4t + -7t = t + -5 Combine like terms: -4t + -7t = -11t 19 + -11t = t + -5 Reorder the terms: 19 + -11t = -5 + t Solving 19 + -11t = -5 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 19 + -11t + -1t = -5 + t + -1t Combine like terms: -11t + -1t = -12t 19 + -12t = -5 + t + -1t Combine like terms: t + -1t = 0 19 + -12t = -5 + 0 19 + -12t = -5 Add '-19' to each side of the equation. 19 + -19 + -12t = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -12t = -5 + -19 -12t = -5 + -19 Combine like terms: -5 + -19 = -24 -12t = -24 Divide each side by '-12'. t = 2 Simplifying t = 2
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